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137189710 = 2573233747
BaseRepresentation
bin10000010110101…
…01100101001110
3100120010221220101
420023111211032
5240110032320
621340241314
73254044000
oct1013254516
9316127811
10137189710
1170492729
1239b4023a
1322565158
1414312370
15c09dc0a
hex82d594e

137189710 has 128 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 42844032.

The previous prime is 137189707. The next prime is 137189743. The reversal of 137189710 is 17981731.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 137189710.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2918907 + ... + 2918953.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2137189710 is an apocalyptic number.

137189710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137189710 is an abundant number, since it is smaller than the sum of its proper divisors (177997490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137189710 is a wasteful number, since it uses less digits than its factorization.

137189710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 37.

The square root of 137189710 is about 11712.8011167269. The cubic root of 137189710 is about 515.7515153770.

The spelling of 137189710 in words is "one hundred thirty-seven million, one hundred eighty-nine thousand, seven hundred ten".

Divisors: 1 2 5 7 10 14 23 35 37 46 47 49 70 74 94 98 115 161 185 230 235 245 259 322 329 343 370 470 490 518 658 686 805 851 1081 1127 1295 1610 1645 1702 1715 1739 1813 2162 2254 2303 2590 3290 3430 3478 3626 4255 4606 5405 5635 5957 7567 7889 8510 8695 9065 10810 11270 11515 11914 12173 12691 15134 15778 16121 17390 18130 23030 24346 25382 29785 32242 37835 39445 39997 41699 52969 59570 60865 63455 75670 78890 79994 80605 83398 85211 105938 121730 126910 161210 170422 199985 208495 264845 279979 291893 370783 399970 416990 426055 529690 559958 583786 596477 741566 852110 1192954 1399895 1459465 1853915 1959853 2799790 2918930 2982385 3707830 3919706 5964770 9799265 13718971 19598530 27437942 68594855 137189710